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Q29 (16.50) For 12 recent clients, a weight loss clinic has collected the following data. Session 1 is coded as 1 for day, 0 for evening, and gender is coded 1 for male, 0 for female. EXCEL has produced the regression output below. Interpret the partial regression coefficients and discuss the results of each significance test. A B C D E F G Pounds Lost Months Session Gender 31 5 1 3 49 4 12 5 SUMMARY OUTPUT 26 o- 0 0- 6 Regression Statistics 34 ooo 0 0 - - 7 Multiple R 0.6961 11 8 R Square 0.4845 4 1 9 Adjusted R Square 0.2912 27 8 10 Standard Error 11.3867 12 6 o o - - - 11 Observations 12 28 o o - - 12 41 13 ANOVA 16 14 SS Significance F 15 Regression 974.9973 324.9991 2.5066 0.1329 16 Residual 1037.2527 129.6566 17 Total 2012.250 18 19 Coefficients Standard Error Stat P-value Lower 95% Upper 95% 20 Intercept 2.2435 8.8760 0.2528 0.8068 18.2246 22.7115 21 Months 3.3561 1.2714 2.6396 0.0297 0.4241 6.2880 22 Session 1.5383 6.7911 0.2265 0.8265 -14.1220 17.1987 23 Gender 3.0176 6.6710 0.4523 0.6630 -12.3658 18.4010 (a) What does the partial regression coefficient for Months imply? [Hint the dependent variable is weight loss.] (b) What does the partial regression coefficient for Session imply? (c) What does the partial regression coefficient for Gender imply? (d) What are the p-values for Session and Gender? Are these variables statistically significant? (e) What is the p-value for Months? Is this variable statistically significant? (f) On the basis of your answers to (a) to (e), what contributes the most to weight loss in this data